Answer:
95,040 different cast are possible
Step-by-step explanation:
In this case the order in which the actors are selected for the 5 different roles is important. Therefore we use the permutations formula.
Where n is the number of items you can choose and choose r from them.
In this case 
and 
Answer:
Number 4: Using Pythagoras Theorem,
Number 5:
3:
It is a right triangle
4:
Not a right triangle
For the last one:
Rounded down (because the answer needs to be a whole number) is 21
Fraction is 7/27 or 0.259
The rule of geometric sequence is ⇒⇒⇒ a * r^(n-1)
Where a is the first term and r is the common ratio
for the given sequence √5 , √10 , 2√5 , .......
a = √5
r = √10 / √5 = √2
The ninth term = √5 * (√2)^(9-1) = √5 * (√2)⁸ = 16 √5
the correct answer is the third option 16√5
